966875 has 40 divisors (see below), whose sum is σ = 1574496. Its totient is φ = 576000.

The previous prime is 966871. The next prime is 966883. The reversal of 966875 is 578669.

It is a happy number.

It is not a de Polignac number, because 966875 - 2² = 966871 is a prime.

Its product of digits (90720) is a multiple of the sum of its prime divisors (42).

It is not an unprimeable number, because it can be changed into a prime (966871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 56867 + ... + 56883.

2⁹⁶⁶⁸⁷⁵ is an apocalyptic number.

966875 is a deficient number, since it is larger than the sum of its proper divisors (607621).

966875 is a wasteful number, since it uses less digits than its factorization.

966875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 42 counting only the distinct ones).

The product of its digits is 90720, while the sum is 41.

The square root of 966875 is about 983.2980219649. The cubic root of 966875 is about 98.8834120511.

The spelling of 966875 in words is "nine hundred sixty-six thousand, eight hundred seventy-five".